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Finding the Fourth Proportional to 378,014.25, 566,824.50 and 178,281.01

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Solution

The fourth proportional to 378,014.25, 566,824.50 and 178,281.01 is: 267,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,014.25 : 566,824.50 = 178,281.01 : x
  2. Step 2: Convert to fraction form
    378,014.25/566,824.50 = 178,281.01/x
  3. Step 3: Cross multiply
    378,014.25x = 566,824.50 × 178,281.01
  4. Step 4: Simplify right side
    378,014.25x = 101,054,044,352.75
  5. Step 5: Solve for x
    x = 101,054,044,352.75/378,014.25
  6. Step 6: Final answer
    x = 267,328.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.